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Finding the Fourth Proportional to 9,003.28, 12,419.34 and 5,415.74

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Solution

The fourth proportional to 9,003.28, 12,419.34 and 5,415.74 is: 7,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.28 : 12,419.34 = 5,415.74 : x
  2. Step 2: Convert to fraction form
    9,003.28/12,419.34 = 5,415.74/x
  3. Step 3: Cross multiply
    9,003.28x = 12,419.34 × 5,415.74
  4. Step 4: Simplify right side
    9,003.28x = 67,259,916.41
  5. Step 5: Solve for x
    x = 67,259,916.41/9,003.28
  6. Step 6: Final answer
    x = 7,470.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.